3984411015936 has 1512 divisors, whose sum is σ = 13941404307600. Its totient is φ = 1131926814720.

The previous prime is 3984411015931. The next prime is 3984411015947. The reversal of 3984411015936 is 6395101144893.

3984411015936 is a `hidden beast` number, since 3 + 9 + 8 + 4 + 41 + 1 + 0 + 1 + 593 + 6 = 666.

It is a super-2 number, since 2×3984411015936² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3984411015931) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 36554229450 + ... + 36554229558.

Almost surely, 2^{3984411015936} is an apocalyptic number.

3984411015936 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3984411015936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6970702153800).

3984411015936 is an abundant number, since it is smaller than the sum of its proper divisors (9956993291664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3984411015936 is a wasteful number, since it uses less digits than its factorization.

3984411015936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 3984411015936 in words is "three trillion, nine hundred eighty-four billion, four hundred eleven million, fifteen thousand, nine hundred thirty-six".